If the matrix A = bmatrix 1 & 3 \\ 2 & 1 bmatrix, then the value of det (A^2 - 2A) is equal to Option 1: 5 Option 2: -5 Option 3: 25 Option 4: -25

The answer is '25'. View full solution:

CUET Mathematics 2025 - If the matrix A = bmatrix 1 & 3 \\ 2 & 1 bmatrix, then the value of det (A^2 - 2A) is equal to | PYQs + Solutions

2025: 21 May Shift 2

If $A$ and $B$ are square matrices of the same order, then which of the following statements are correct?

(A) $|A^{-1}| = |A|^{-1}$

(B) $adj(A) = |A|A^{-1}$

(C) $(A + B)^{-1} = B^{-1} + A^{-1}$

(D) $(AB)^{-1} = B^{-1}A^{-1}$

Choose the correct answer from the options given below:

2026: 18th May Shift 2

If $\begin{bmatrix} x-2y & z \\ 3x+y & w \end{bmatrix}=\begin{bmatrix} 1 & 2 \\ -11 & 1 \end{bmatrix}$ ; then the value of $y-x$ is:-

2026: 30th May Shift 1

Match the LIST-I with LIST-II

	LIST-I (Matrix)		LIST-II (Type of matrix)
A.	$A = [a_{ij}]_{m \times m}$ where $a_{ij} = 0\ \forall\, i \neq j$	I.	Scalar matrix
B.	$A = [a_{ij}]_{m \times 1}$	II.	Diagonal matrix
C.	$A = [a_{ij}]_{1 \times n}$	III.	Column matrix
D.	$A = [a_{ij}]_{m \times m}$ where $a_{ij} = 0\ \forall\, i \neq j$ and $a_{ij} = k\ \forall\, i = j, k \neq 0$	IV.	Row matrix

Choose the correct answer from the options given below:

2023: 30 May Shift 3

If $A = \begin{bmatrix} 3 & 1 \\ -1 & 2 \end{bmatrix}$ , then $A^2 - 5A + 7I =$

2022: 30 Aug Shift 1

The area of rectangular field is:

2025: 30 May Shift 2

If $\begin{bmatrix}2x+1 & 5x \\ 0 & y^2+1\end{bmatrix} = \begin{bmatrix}x+3 & 10 \\ 0 & 26\end{bmatrix}$ then the possible values of x + y are: